The wave-transmitting cover comprises a transparent resin layer, a base layer and a decorative layer, and the decorative layer contains a lustered piece. The method for producing it comprises a film-forming step of forming a film that has a print face and a deposition design face formed thereon, a shaping step of shaping the film, a first molding step of molding one of a transparent resin layer or a base layer thereon to give a first molded part, and a second molding step of forming the other of the transparent resin layer or the base layer on a surface of the first molded part where the film is provided.